Search results for: JACOBIAN MATRICES
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Influence of electrode size on a Jacobian properties.
PublicationW pracy oceniono wpływ geometrii elektrod na jakość obrazowania za pomocą TEI. W tym celu określono zależność pomiędzy uwarunkowaniem Jakobianu a geometrycznymi rozmiarami zastosowanych elektrod.
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Special Matrices
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Operators and Matrices
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Comparision of the current-mode backprojection and Jacobian-based reconstruction algorithms.
PublicationW pracy przedstawiono wynik porównania jakości dwóch algorytmów, pierwszego opartego na pomiarze rozpływu prądu pomiędzy elektrody pomiarowe i algorytmu wykorzystującego informację zawartą w Jakobianie. Porównano szybkość i dokładność tych algorytmów. Wskazano na dużą szybkość pierwszego i znacznie lepszą jakość drugiego algorytmu.
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Simple connection matrices
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Novel Polyurethanes as Antifouling Paint Matrices
PublicationThe new poly(ester-ether urethane)s (PEEUR) were prepared in two stage synthesis from formerly obtained oligo(alkylene ester-ether)diols (OAEE) and 4,4‘-diphenylmethane diisocyanate (MDI). PEEUR samples were subjected to crosslinking with styrene in the presence of radical polymerization initiators: methyl ethyl ketone peroxide (MEKPO) or cobalt 2-ethyl cyclohexanoate (EtHCo). Crosslinked PEEUR were characterized by their physicochemical...
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Spectral sequences and detailed connection matrices
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Inseparability criteria based on matrices of moments
PublicationInseparability criteria for continuous and discrete bipartite quantum states based on moments of annihilationand creation operators are studied by developing the idea of Shchukin-Vogel criterion Phys. Rev. Lett. 95,230502 2005. If a state is separable, then the corresponding matrix of moments is separable too. Thus, wederive generalized criteria based on the separability properties of the matrix of moments. In particular, acriterion...
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Reduced-Cost Design Optimization of High-Frequency Structures Using Adaptive Jacobian Updates
PublicationElectromagnetic (EM) analysis is the primary tool utilized in the design of high-frequency structures. In vast majority of cases, simpler models (e.g., equivalent networks or analytical ones) are either not available or lack accuracy: they can only be used to yield initial designs that need to be further tuned. Consequently, EM-driven adjustment of geometry and/or material parameters of microwave and antenna components is a necessary...
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Random Matrices-Theory and Applications
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Spectroscopic verification of ionic matrices for MALDI analysis
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Cholesky factorization of matrices in parallel and ranking of graphs.
PublicationUporządkowane kolorowanie znajduje zastosowanie przy równoległej faktoryzacji macierzy metodą Cholesky'ego. Praca zawiera opis tego zastosowania. Podano także algorytmy optymalnego uporządkowanego kolorowania krawędzi pewnych klas grafów: grafów pełnych dwudzielnych oraz powstałych z pełnych dwudzielnych przez usunięcie O(log n) krawędzi.
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Estimators of covariance matrices in Msplit(q) estimation
PublicationThis paper proposes methods for the determination of covariance matrices of Msplit(q) estimators. The solutions presented here allow Msplit(q) estimation to be supplemented by the operations from the domain of accuracy analysis (especially that concerning estimators of parameters). Theoretical forms of covariance matrices of Msplit(q) estimators were established using the empirical influence functions and the equivalent covariance...
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A Novel Trust-Region-Based Algorithm with Flexible Jacobian Updates for Expedited Optimization of High-Frequency Structures
PublicationSimulation-driven design closure is mandatory in the design of contemporary high-frequency components. It aims at improving the selected performance figures through adjustment of the structure’s geometry (and/or material) parameters. The computational cost of this process when employing numerical optimization is often prohibitively high, which is a strong motivation for the development of more efficient methods. This is especially...
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Determination of pesticide residues in food matrices using the QuEChERSmethodology
PublicationOznaczanie pozostałości pestycydów w próbkach żywności jest ogromnym wyzwaniem głównie z powodu dużych ilości substancji przeszkadzających, które podlegają ekstrakcji razem z analitami i najczęściej wywierają negatywny wpływ na tok analizy. Z drugiej strony, zapewnienie "bezpieczeństwa żywności" wymaga monitorowania w niej pozostałości pestycydów. W artykule przedstawiono nowe podejście do oznaczania pozostałości pestycydów w próbkach...
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Water clusters in liquid organic matrices of different polarity
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A method for the analysis of methylmercury and total Hg in fungal matrices
PublicationThe aim of the study was to develop an efficient method for the determination of monomethyl-mercury (MeHg) and total mercury (THg) content in materials such as fungal sporocarps and sclerotia. Certified Reference Materials (CRMs) with the assigned values of MeHg and THg as well as the control materials (dried mushrooms) with known content of THg were evaluated for method validation. Recovery of MeHg from reference materials was...
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Expedited Feature-Based Quasi-Global Optimization of Multi-Band Antenna Input Characteristics with Jacobian Variability Tracking
PublicationDesign of modern antennas relies—for reliability reasons—on full-wave electromagnetic simulation tools. In addition, increasingly stringent specifications pertaining to electrical and field performance, growing complexity of antenna topologies, along with the necessity for handling multiple objectives, make numerical optimization of antenna geometry parameters a highly recommended design procedure. Conventional algorithms, particularly...
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Determination of POPs in environmental matrices – proficiency tests for Polish laboratories
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Absorbing Boundary Conditions Derived Based on Pauli Matrices Algebra
PublicationIn this letter, we demonstrate that a set of absorbing boundary conditions (ABCs) for numerical simulations of waves, proposed originally by Engquist and Majda and later generalized by Trefethen and Halpern, can alternatively be derived with the use of Pauli matrices algebra. Hence a novel approach to the derivation of one-way wave equations in electromagnetics is proposed. That is, the classical wave equation can be factorized...
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Determination of POPs in environmental matrices - proficiency tests for Polish laboratories
PublicationKatedra Chemii Analitycznej Wydziału Chemicznego PG we współpracy ze Stowarzyszeniem RefMat oraz firmą LGC Promochem Sp. z o.o. prowadzi od 2003 roku wieloletni projekt badań biegłości laboratoriów. Celem badań jest określenie biegłości laboratoriów w zakresie oznaczania związków organicznych (anality z grupy PCB, WWA, pestycydy) w próbkach środowiskowych. W ramach projektu przeprowadzono dotychczas trzy badania biegłości dotyczące...
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Generation of large finite-element matrices on multiple graphics processors
PublicationThis paper presents techniques for generating very large finite-element matrices on a multicore workstation equipped with several graphics processing units (GPUs). To overcome the low memory size limitation of the GPUs, and at the same time to accelerate the generation process, we propose to generate the large sparse linear systems arising in finite-element analysis in an iterative manner on several GPUs and to use the graphics...
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Modern techniques of extraction of organic analytes from environmental matrices.
PublicationW pracy przedstawiono usystematyzowane informacje dotyczące dostępnych jak i nowych technik izolacji i wzbogacania analitów organicznych przed etapem oznaczeń końcowych.
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Structural studies of bismuth nanocrystals embedded in SiO2 or GeO2 matrices.
PublicationW wyniku wygrzewania w atmosferze wodoru szkieł bizmutowych i germanowych otrzymano warstwę nanogranul bizmutu w otoczeniu amorficznej matrycy oraz powierzchniową warstwę bizmutowych granul. Grubość i struktura tak otrzymanych warstw silnie zależy od czasu i temperatury redukcji.
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Reduced-cost electromagnetic-driven optimisation of antenna structures by means of trust-region gradient-search with sparse Jacobian updates
PublicationNumerical optimisation plays more and more important role in the antenna design. Because of lack of design-ready theoretical models, electromagnetic (EM)-simulation-driven adjustment of geometry parameters is a necessary step of the design process. At the same time, traditional parameter sweeping cannot handle complex topologies and large number of design variables. On the other hand, high computational cost of the conventional...
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Reducing the Number of Microlocations in Oligonucleotide Microchip Matrices by the Application of Degenerate Oligonucleotides
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Representation of the Poisson kernel for Jacobi and Hahn polynomials
PublicationW pracy przedstawiono dowód twierdzenia o reprezentacji jąder Poissona dla wielomianów Jacobiego wypukłą kombinacją nieujemnych jąder typu Durrmeyera. Podobne rezultaty uzyskano dla jąder Poissona dla dyskretnych wielomianów Hahna.
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Review of the applicability of ionic liquid matrices for the quantification of small molecules by MALDI MS
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Molecular Design Using Selected Concentration Effects in Optically Activated Fluorescent Matrices
PublicationMolecular physics plays a pivotal role in various fields, including medicine, pharmaceuticals, and broader industrial applications. This study aims to enhance the methods for producing specific optically active materials with distinct spectroscopic properties at the molecular level, which are crucial for these sectors, while prioritizing human safety in both production and application. Forensic science, a significant socio-economic...
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Highlighting interlanguage phoneme differences based on similarity matrices and convolutional neural network
PublicationThe goal of this research is to find a way of highlighting the acoustic differences between consonant phonemes of the Polish and Lithuanian languages. For this purpose, similarity matrices are employed based on speech acoustic parameters combined with a convolutional neural network (CNN). In the first experiment, we compare the effectiveness of the similarity matrices applied to discerning acoustic differences between consonant...
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Kinetics of photochromic reactions of substituted azobenzenes in solutions, and in liquid crystalline and polymer matrices
PublicationBadano kinetykę fotochromowych reakcji pochodnych azobenzenu: eterów koronowych z resztą benzenu i 4-metoksy-4´-halogenoazobenzenów zdolnych do tworzenia fazy ciekłokrystalicznej. Fotoaktywne związki rozpuszczano w alkanach, polimerach i w ciekłokrystalicznej matrycy. Izomeryzacja odpowiada kinetyce pierwszego rzędu w niektórych polimerach, jednakże stwierdzono zróżnicowanie stałych szybkości reakcji. Termiczna izomeryzacja cis-trans...
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Method of lines for Hamilton-Jacobi functional differential equations.
PublicationInitial boundary value problems for nonlinear first order partial functional differential equations are transformed by discretization in space variables into systems of ordinary functional differential equations. A method of quasi linearization is adopted. Suffcient conditions for the convergence of the method of lines and error estimates for approximate solutions are presented. The proof of the stability of the diffrential difference...
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Population Health Metrics
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Performance Measurement and Metrics
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A new approach for the extraction of tetracyclines from soil matrices: application of the microwave-extraction technique
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Nano-structured Pt embedded in the acidic salts of heteropolymolybdate matrices: MS XAFS study
PublicationMultiple-scattering extended X-ray absorption fine structure (MS EXAFS) study combined with TEM and XRD analysis of a novel Pt-based catalyst operating at low temperature fuel cells (FCs) is presented. Innovation in the case of the considered catalyst resides in the use of a porous inorganic matrix of acidic heteropolymolybdate salts as a catalyst support. Obtained results show the relation between the matrix composition and the...
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Nanofiltration-Assisted Concentration Processes of Phenolic Fractions and Carotenoids from Natural Food Matrices
PublicationIn new food formulations, carotenoids and phenolic compounds are likely to be the most sought after food ingredients according to their bioactivity, nutraceutical, nutritional value, and compatibility properties once incorporated into food formulations. Such solutes are naturally present in many plant-based sources, and some portions are directly consumed when enriching food products and formulations; however, some portions, which...
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ENCAPSULATION OF ROXITHROMYCIN INTO GELLAN GUM MATRICES AND THE IMPACT OF OTHER NATURAL POLYMERS ON DRUG RELEASE
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Catalysis on polymer supports: ESR of molybdenum (V) dispersed in poly(acrylic acid) matrices
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New trends in the analysis of the volatile fraction of matrices of vegetable origin: a short overview. A review.
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The Current State-of-the-Art in the Determination of Pharmaceutical Residues in Environmental Matrices Using Hyphenated Techniques
PublicationSeveral thousand tons of pharmaceuticals and their transformation products (metabolites and degradation products) are introduced into the environment each year. They affect both human health and the environment, therefore, analytical procedures enabling the determination of a wide range of pharmaceuticals at trace levelswithminimal effort, time, and energy are required. Nowadays, hyphenated techniques are commonly applied in pharmaceutical...
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Nano-structured Pt embedded in acidic salts of heteropolymolybdate matrices: MS EXAFS study
PublicationA structural study of Pt nano-catalysts is presented in the paper. The innovation in the case of the considered catalytic materials resides in the use a meso-microporous inorganic matrix of heteropolyacid salt of composition X2.5H0.5YMo12O40 where X = Rb, Cs and Y = P, Si as a catalyst support. Metallic nanoparticles were created by platinum ions reduction in a hot H2/Argon stream and were mainly located into matrix pores. As the...
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Comprehensive two-dimensional gas chromatography - promising technique for analysis of complex food matrices
PublicationThe present paper is focused on brief description of operational principle of comprehensive two-dimensional gas chromatography (GC×GC) technique, instrumentation and data processing. Furthermore, the examples of application in the field of food analysis, performed also in the author's laboratory, are given. The detailed discussion of GC×GC characterization and comparison of the volatile composition of berries of different blue...
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Non-invasive biological fluid matrices analysed to assess exposure to environmental tobacco smoke
PublicationPalenie tytoniu stanowi istotne źródło zanieczyszczenia powietrza wewnętrznego. Szkodliwość palenia tytoniu potwierdzają zarówno badania doświadczalne, jak i liczne opracowania epidemiologiczne. Celem przeprowadzonych prac badawczych było oznaczenie zawartości wybranych jonów nieorganicznych (zwłaszcza jonów rodankowych jako biomarkerów narażenia na składniki obecne w środowiskowym dymie tytoniowym) w próbkach płynów biologicznych...
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Mesophilic and thermophilic dark fermentation course analysis using sensor matrices and chromatographic techniques
PublicationProduction of biofuels from biomass is expected to benefit the society and the environment. At present, bio waste residues processing includes hydrolysis, dark fermentation, photofermentation, pyrolysis, gasification, and chemical synthesis. As the composition and the chemical structure of organic substances affect the efficiency of mentioned processes, it is believed that the glucose concentration is a crucial parameter for the...
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Greening procedures and analytical parameters. The polychlorinated naphthalenes analysis in complex matrices as proof of concept
PublicationDue to the complexity of analytical procedures employed for the determination of wide spectrum of persistent organic pollutants (POPs), it is important to consider the green character of the applied protocols and propose the greenest solutions. In this review, the green aspects of several analytical procedures used for the determination of polychlorinated naphthalenes (PCNs) (as a representatives of POPs) in different types of...
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Metrics for green analytical chemistry
PublicationGreen analytical chemistry, although not being a new concept, does not have a greenness metrics system. Green chemistry metrics are not suitable for analytical procedure assessment because they often refer to the mass of the product. Some efforts have been made to develop suitable metrics for analytical chemistry. Some are simple to use but do not cover all aspects of analytical methods’ environmental impact. Others are more comprehensive...
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Quadratic stochastic operators on Banach lattices
PublicationWe study the convergence of iterates of quadratic stochastic operators that are mean monotonic. They are defined on the convex set of probability measures concentrated on a weakly compact order interval S = [0, f] of a fixed Banach lattice F. We study their regularity and identify the limits of trajectories either as the “infimum” or “supremum” of the support of initial distributions.
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Implicit difference methods for Hamilton-Jacobi differential functional equations
PublicationKlasyczne rozwiązania problemów początkowych przybliżane są rozwiązaniami odpowiedniego układu quasiliniowego równań różniczkowo funkcyjnych. Rozpatrywana metoda numeryczna jest uwikłana względem zmiennej przestrzennej. Wykazana została zbieżność i stabilność uwikłanych schematów. Dowód stabilności opiera się na technice porównawczej z nieliniowym oszacowaniem typu Perrona dla funkcji danych.
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An additional result of Monsuur`s paper about intrinsic consistency thres-hold for reciprocal matrices
PublicationArtykuł dotyczy zagadnienia szeregowania czynników z wykorzystaniem metody porównywania parami. Pokazuje, że metoda logarytmicznych najmniejszych kwadratów, stosowana w procesie aproksymacji macierzy ocen w celu obliczenia uszeregowania nie powoduje utraty wagi w przeciwieństwie do powszechnie stosowanej metody maksymalnej wartości własnej.